TSTP Solution File: HWV021-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV021-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 18:29:43 EDT 2022
% Result : Unsatisfiable 10.80s 10.96s
% Output : CNFRefutation 10.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 40
% Syntax : Number of clauses : 135 ( 29 unt; 58 nHn; 98 RR)
% Number of literals : 314 ( 116 equ; 119 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 128 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_1,axiom,
plus(X_0,n1) != n0 ).
cnf(axiom_2,axiom,
gt(plus(X_1,n1),n0) ).
cnf(axiom_3,axiom,
( ~ gt(X_2,n0)
| gt(X_2,minus(X_2,n1)) ) ).
cnf(axiom_4,axiom,
( minus(X_3,Y_4) != Z_5
| plus(Z_5,Y_4) = X_3
| def_10(Y_4,X_3) ) ).
cnf(axiom_6,axiom,
( ~ def_10(Y_4,X_3)
| ~ gt(X_3,Y_4) ) ).
cnf(axiom_8,axiom,
( ~ gt(Y_12,X_11)
| gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_9,axiom,
( gt(Y_12,X_11)
| ~ gt(plus(Y_12,n1),plus(X_11,n1)) ) ).
cnf(axiom_10,axiom,
( gt(X_13,Y_14)
| ~ gt(plus(X_13,n1),Y_14)
| Y_14 = X_13 ) ).
cnf(axiom_13,axiom,
( ~ gt(Z_21,Y_20)
| gt(Z_21,X_19)
| ~ gt(Y_20,X_19) ) ).
cnf(axiom_15,axiom,
( X_25 = n0
| gt(X_25,n0) ) ).
cnf(axiom_16,axiom,
( X_26 = n0
| X_26 = plus(y_27(X_26),n1) ) ).
cnf(axiom_17,axiom,
~ gt(X_28,X_28) ).
cnf(axiom_18,axiom,
( plus(X_29,n1) != plus(Y_30,n1)
| X_29 = Y_30 ) ).
cnf(axiom_19,axiom,
plus(n0,X_31) = X_31 ).
cnf(axiom_24,axiom,
( int_level(X_t_35) != n0
| p_Empty(X_t_35) ) ).
cnf(axiom_52,axiom,
( p_Reset(X_t_42)
| ~ p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd_error(plus(X_t_42,n1)) ) ).
cnf(axiom_70,axiom,
( p_Reset(X_t_42)
| p_Wr(X_t_42)
| ~ p_Rd(X_t_42)
| ~ gt(int_level(X_t_42),n0)
| ~ p_Rd_error(plus(X_t_42,n1)) ) ).
cnf(quest_1,negated_conjecture,
p_Rd_error(plus(t_139,n1)) ).
cnf(quest_2,negated_conjecture,
p_Rd(t_139) ).
cnf(quest_3,negated_conjecture,
~ p_Reset(t_139) ).
cnf(quest_4,negated_conjecture,
~ p_Empty(t_139) ).
cnf(refute_0_0,plain,
( int_level(t_139) != n0
| p_Empty(t_139) ),
inference(subst,[],[axiom_24:[bind(X_t_35,$fot(t_139))]]) ).
cnf(refute_0_1,plain,
( int_level(X_339) = n0
| gt(int_level(X_339),n0) ),
inference(subst,[],[axiom_15:[bind(X_25,$fot(int_level(X_339)))]]) ).
cnf(refute_0_2,plain,
( ~ gt(int_level(X_339),n0)
| ~ p_Rd(X_339)
| ~ p_Rd_error(plus(X_339,n1))
| ~ p_Wr(X_339)
| p_Reset(X_339) ),
inference(subst,[],[axiom_52:[bind(X_t_42,$fot(X_339))]]) ).
cnf(refute_0_3,plain,
( ~ p_Rd(X_339)
| ~ p_Rd_error(plus(X_339,n1))
| ~ p_Wr(X_339)
| int_level(X_339) = n0
| p_Reset(X_339) ),
inference(resolve,[$cnf( gt(int_level(X_339),n0) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ p_Rd(t_139)
| ~ p_Rd_error(plus(t_139,n1))
| ~ p_Wr(t_139)
| int_level(t_139) = n0
| p_Reset(t_139) ),
inference(subst,[],[refute_0_3:[bind(X_339,$fot(t_139))]]) ).
cnf(refute_0_5,plain,
( ~ p_Rd(t_139)
| ~ p_Wr(t_139)
| int_level(t_139) = n0
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Rd_error(plus(t_139,n1)) )],[quest_1,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ p_Wr(t_139)
| int_level(t_139) = n0
| p_Reset(t_139) ),
inference(resolve,[$cnf( p_Rd(t_139) )],[quest_2,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ p_Wr(t_139)
| int_level(t_139) = n0 ),
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_6,quest_3]) ).
cnf(refute_0_8,plain,
( ~ gt(plus(n0,n1),plus(X_65,n1))
| gt(n0,X_65) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(X_65)),bind(Y_12,$fot(n0))]]) ).
cnf(refute_0_9,plain,
plus(n0,n1) = n1,
inference(subst,[],[axiom_19:[bind(X_31,$fot(n1))]]) ).
cnf(refute_0_10,plain,
( plus(n0,n1) != n1
| ~ gt(n1,plus(X_65,n1))
| gt(plus(n0,n1),plus(X_65,n1)) ),
introduced(tautology,[equality,[$cnf( ~ gt(plus(n0,n1),plus(X_65,n1)) ),[0],$fot(n1)]]) ).
cnf(refute_0_11,plain,
( ~ gt(n1,plus(X_65,n1))
| gt(plus(n0,n1),plus(X_65,n1)) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ gt(n1,plus(X_65,n1))
| gt(n0,X_65) ),
inference(resolve,[$cnf( gt(plus(n0,n1),plus(X_65,n1)) )],[refute_0_11,refute_0_8]) ).
cnf(refute_0_13,plain,
( ~ gt(n1,plus(y_27(X_26),n1))
| gt(n0,y_27(X_26)) ),
inference(subst,[],[refute_0_12:[bind(X_65,$fot(y_27(X_26)))]]) ).
cnf(refute_0_14,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_15,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_16,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( X_26 != plus(y_27(X_26),n1)
| plus(y_27(X_26),n1) = X_26 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(X_26)),bind(Y,$fot(plus(y_27(X_26),n1)))]]) ).
cnf(refute_0_18,plain,
( X_26 = n0
| plus(y_27(X_26),n1) = X_26 ),
inference(resolve,[$cnf( $equal(X_26,plus(y_27(X_26),n1)) )],[axiom_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( plus(y_27(X_26),n1) != X_26
| ~ gt(n1,X_26)
| gt(n1,plus(y_27(X_26),n1)) ),
introduced(tautology,[equality,[$cnf( ~ gt(n1,plus(y_27(X_26),n1)) ),[1],$fot(X_26)]]) ).
cnf(refute_0_20,plain,
( ~ gt(n1,X_26)
| X_26 = n0
| gt(n1,plus(y_27(X_26),n1)) ),
inference(resolve,[$cnf( $equal(plus(y_27(X_26),n1),X_26) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ gt(n1,X_26)
| X_26 = n0
| gt(n0,y_27(X_26)) ),
inference(resolve,[$cnf( gt(n1,plus(y_27(X_26),n1)) )],[refute_0_20,refute_0_13]) ).
cnf(refute_0_22,plain,
( ~ gt(n1,int_level(t_139))
| int_level(t_139) = n0
| gt(n0,y_27(int_level(t_139))) ),
inference(subst,[],[refute_0_21:[bind(X_26,$fot(int_level(t_139)))]]) ).
cnf(refute_0_23,plain,
( ~ gt(plus(plus(X_11,n1),n1),plus(X_11,n1))
| gt(plus(X_11,n1),X_11) ),
inference(subst,[],[axiom_9:[bind(Y_12,$fot(plus(X_11,n1)))]]) ).
cnf(refute_0_24,plain,
( ~ gt(plus(X_1,n1),n0)
| gt(plus(X_1,n1),minus(plus(X_1,n1),n1)) ),
inference(subst,[],[axiom_3:[bind(X_2,$fot(plus(X_1,n1)))]]) ).
cnf(refute_0_25,plain,
gt(plus(X_1,n1),minus(plus(X_1,n1),n1)),
inference(resolve,[$cnf( gt(plus(X_1,n1),n0) )],[axiom_2,refute_0_24]) ).
cnf(refute_0_26,plain,
gt(plus(y_27(X_26),n1),minus(plus(y_27(X_26),n1),n1)),
inference(subst,[],[refute_0_25:[bind(X_1,$fot(y_27(X_26)))]]) ).
cnf(refute_0_27,plain,
( plus(y_27(X_26),n1) != X_26
| ~ gt(plus(y_27(X_26),n1),minus(plus(y_27(X_26),n1),n1))
| gt(plus(y_27(X_26),n1),minus(X_26,n1)) ),
introduced(tautology,[equality,[$cnf( gt(plus(y_27(X_26),n1),minus(plus(y_27(X_26),n1),n1)) ),[1,0],$fot(X_26)]]) ).
cnf(refute_0_28,plain,
( ~ gt(plus(y_27(X_26),n1),minus(plus(y_27(X_26),n1),n1))
| X_26 = n0
| gt(plus(y_27(X_26),n1),minus(X_26,n1)) ),
inference(resolve,[$cnf( $equal(plus(y_27(X_26),n1),X_26) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
( X_26 = n0
| gt(plus(y_27(X_26),n1),minus(X_26,n1)) ),
inference(resolve,[$cnf( gt(plus(y_27(X_26),n1),minus(plus(y_27(X_26),n1),n1)) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( plus(X_70,n1) = n0
| gt(plus(y_27(plus(X_70,n1)),n1),minus(plus(X_70,n1),n1)) ),
inference(subst,[],[refute_0_29:[bind(X_26,$fot(plus(X_70,n1)))]]) ).
cnf(refute_0_31,plain,
( plus(minus(X_3,n1),n1) != plus(X_70,n1)
| minus(X_3,n1) = X_70 ),
inference(subst,[],[axiom_18:[bind(X_29,$fot(minus(X_3,n1))),bind(Y_30,$fot(X_70))]]) ).
cnf(refute_0_32,plain,
( minus(X_3,Y_4) != minus(X_3,Y_4)
| plus(minus(X_3,Y_4),Y_4) = X_3
| def_10(Y_4,X_3) ),
inference(subst,[],[axiom_4:[bind(Z_5,$fot(minus(X_3,Y_4)))]]) ).
cnf(refute_0_33,plain,
minus(X_3,Y_4) = minus(X_3,Y_4),
introduced(tautology,[refl,[$fot(minus(X_3,Y_4))]]) ).
cnf(refute_0_34,plain,
( plus(minus(X_3,Y_4),Y_4) = X_3
| def_10(Y_4,X_3) ),
inference(resolve,[$cnf( $equal(minus(X_3,Y_4),minus(X_3,Y_4)) )],[refute_0_33,refute_0_32]) ).
cnf(refute_0_35,plain,
( plus(minus(X_3,n1),n1) = X_3
| def_10(n1,X_3) ),
inference(subst,[],[refute_0_34:[bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_36,plain,
( X_3 != plus(X_70,n1)
| plus(minus(X_3,n1),n1) != X_3
| plus(minus(X_3,n1),n1) = plus(X_70,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) ),[1],$fot(plus(X_70,n1))]]) ).
cnf(refute_0_37,plain,
( X_3 != plus(X_70,n1)
| plus(minus(X_3,n1),n1) = plus(X_70,n1)
| def_10(n1,X_3) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),X_3) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( X_3 != plus(X_70,n1)
| minus(X_3,n1) = X_70
| def_10(n1,X_3) ),
inference(resolve,[$cnf( $equal(plus(minus(X_3,n1),n1),plus(X_70,n1)) )],[refute_0_37,refute_0_31]) ).
cnf(refute_0_39,plain,
( plus(X_70,n1) != plus(X_70,n1)
| minus(plus(X_70,n1),n1) = X_70
| def_10(n1,plus(X_70,n1)) ),
inference(subst,[],[refute_0_38:[bind(X_3,$fot(plus(X_70,n1)))]]) ).
cnf(refute_0_40,plain,
plus(X_70,n1) = plus(X_70,n1),
introduced(tautology,[refl,[$fot(plus(X_70,n1))]]) ).
cnf(refute_0_41,plain,
( minus(plus(X_70,n1),n1) = X_70
| def_10(n1,plus(X_70,n1)) ),
inference(resolve,[$cnf( $equal(plus(X_70,n1),plus(X_70,n1)) )],[refute_0_40,refute_0_39]) ).
cnf(refute_0_42,plain,
( minus(plus(X_70,n1),n1) != X_70
| ~ gt(plus(y_27(plus(X_70,n1)),n1),minus(plus(X_70,n1),n1))
| gt(plus(y_27(plus(X_70,n1)),n1),X_70) ),
introduced(tautology,[equality,[$cnf( gt(plus(y_27(plus(X_70,n1)),n1),minus(plus(X_70,n1),n1)) ),[1],$fot(X_70)]]) ).
cnf(refute_0_43,plain,
( ~ gt(plus(y_27(plus(X_70,n1)),n1),minus(plus(X_70,n1),n1))
| def_10(n1,plus(X_70,n1))
| gt(plus(y_27(plus(X_70,n1)),n1),X_70) ),
inference(resolve,[$cnf( $equal(minus(plus(X_70,n1),n1),X_70) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( plus(X_70,n1) = n0
| def_10(n1,plus(X_70,n1))
| gt(plus(y_27(plus(X_70,n1)),n1),X_70) ),
inference(resolve,[$cnf( gt(plus(y_27(plus(X_70,n1)),n1),minus(plus(X_70,n1),n1)) )],[refute_0_30,refute_0_43]) ).
cnf(refute_0_45,plain,
( plus(y_27(X_26),n1) != plus(X_70,n1)
| y_27(X_26) = X_70 ),
inference(subst,[],[axiom_18:[bind(X_29,$fot(y_27(X_26))),bind(Y_30,$fot(X_70))]]) ).
cnf(refute_0_46,plain,
( X_26 != plus(X_70,n1)
| plus(y_27(X_26),n1) != X_26
| plus(y_27(X_26),n1) = plus(X_70,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(y_27(X_26),n1),X_26) ),[1],$fot(plus(X_70,n1))]]) ).
cnf(refute_0_47,plain,
( X_26 != plus(X_70,n1)
| X_26 = n0
| plus(y_27(X_26),n1) = plus(X_70,n1) ),
inference(resolve,[$cnf( $equal(plus(y_27(X_26),n1),X_26) )],[refute_0_18,refute_0_46]) ).
cnf(refute_0_48,plain,
( X_26 != plus(X_70,n1)
| X_26 = n0
| y_27(X_26) = X_70 ),
inference(resolve,[$cnf( $equal(plus(y_27(X_26),n1),plus(X_70,n1)) )],[refute_0_47,refute_0_45]) ).
cnf(refute_0_49,plain,
( plus(X_70,n1) != plus(X_70,n1)
| plus(X_70,n1) = n0
| y_27(plus(X_70,n1)) = X_70 ),
inference(subst,[],[refute_0_48:[bind(X_26,$fot(plus(X_70,n1)))]]) ).
cnf(refute_0_50,plain,
( plus(X_70,n1) = n0
| y_27(plus(X_70,n1)) = X_70 ),
inference(resolve,[$cnf( $equal(plus(X_70,n1),plus(X_70,n1)) )],[refute_0_40,refute_0_49]) ).
cnf(refute_0_51,plain,
plus(X_70,n1) != n0,
inference(subst,[],[axiom_1:[bind(X_0,$fot(X_70))]]) ).
cnf(refute_0_52,plain,
y_27(plus(X_70,n1)) = X_70,
inference(resolve,[$cnf( $equal(plus(X_70,n1),n0) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
plus(y_27(plus(X_70,n1)),n1) = plus(y_27(plus(X_70,n1)),n1),
introduced(tautology,[refl,[$fot(plus(y_27(plus(X_70,n1)),n1))]]) ).
cnf(refute_0_54,plain,
( plus(y_27(plus(X_70,n1)),n1) != plus(y_27(plus(X_70,n1)),n1)
| y_27(plus(X_70,n1)) != X_70
| plus(y_27(plus(X_70,n1)),n1) = plus(X_70,n1) ),
introduced(tautology,[equality,[$cnf( $equal(plus(y_27(plus(X_70,n1)),n1),plus(y_27(plus(X_70,n1)),n1)) ),[1,0],$fot(X_70)]]) ).
cnf(refute_0_55,plain,
( y_27(plus(X_70,n1)) != X_70
| plus(y_27(plus(X_70,n1)),n1) = plus(X_70,n1) ),
inference(resolve,[$cnf( $equal(plus(y_27(plus(X_70,n1)),n1),plus(y_27(plus(X_70,n1)),n1)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
plus(y_27(plus(X_70,n1)),n1) = plus(X_70,n1),
inference(resolve,[$cnf( $equal(y_27(plus(X_70,n1)),X_70) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( plus(y_27(plus(X_70,n1)),n1) != plus(X_70,n1)
| ~ gt(plus(y_27(plus(X_70,n1)),n1),X_70)
| gt(plus(X_70,n1),X_70) ),
introduced(tautology,[equality,[$cnf( gt(plus(y_27(plus(X_70,n1)),n1),X_70) ),[0],$fot(plus(X_70,n1))]]) ).
cnf(refute_0_58,plain,
( ~ gt(plus(y_27(plus(X_70,n1)),n1),X_70)
| gt(plus(X_70,n1),X_70) ),
inference(resolve,[$cnf( $equal(plus(y_27(plus(X_70,n1)),n1),plus(X_70,n1)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( plus(X_70,n1) = n0
| def_10(n1,plus(X_70,n1))
| gt(plus(X_70,n1),X_70) ),
inference(resolve,[$cnf( gt(plus(y_27(plus(X_70,n1)),n1),X_70) )],[refute_0_44,refute_0_58]) ).
cnf(refute_0_60,plain,
( def_10(n1,plus(X_70,n1))
| gt(plus(X_70,n1),X_70) ),
inference(resolve,[$cnf( $equal(plus(X_70,n1),n0) )],[refute_0_59,refute_0_51]) ).
cnf(refute_0_61,plain,
( def_10(n1,plus(plus(X_11,n1),n1))
| gt(plus(plus(X_11,n1),n1),plus(X_11,n1)) ),
inference(subst,[],[refute_0_60:[bind(X_70,$fot(plus(X_11,n1)))]]) ).
cnf(refute_0_62,plain,
( def_10(n1,plus(plus(X_11,n1),n1))
| gt(plus(X_11,n1),X_11) ),
inference(resolve,[$cnf( gt(plus(plus(X_11,n1),n1),plus(X_11,n1)) )],[refute_0_61,refute_0_23]) ).
cnf(refute_0_63,plain,
( ~ def_10(n1,plus(plus(X_49,n1),n1))
| ~ gt(plus(plus(X_49,n1),n1),n1) ),
inference(subst,[],[axiom_6:[bind(X_3,$fot(plus(plus(X_49,n1),n1))),bind(Y_4,$fot(n1))]]) ).
cnf(refute_0_64,plain,
( ~ gt(plus(X_1,n1),n0)
| gt(plus(plus(X_1,n1),n1),plus(n0,n1)) ),
inference(subst,[],[axiom_8:[bind(X_11,$fot(n0)),bind(Y_12,$fot(plus(X_1,n1)))]]) ).
cnf(refute_0_65,plain,
gt(plus(plus(X_1,n1),n1),plus(n0,n1)),
inference(resolve,[$cnf( gt(plus(X_1,n1),n0) )],[axiom_2,refute_0_64]) ).
cnf(refute_0_66,plain,
( plus(n0,n1) != n1
| ~ gt(plus(plus(X_1,n1),n1),plus(n0,n1))
| gt(plus(plus(X_1,n1),n1),n1) ),
introduced(tautology,[equality,[$cnf( gt(plus(plus(X_1,n1),n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_67,plain,
( ~ gt(plus(plus(X_1,n1),n1),plus(n0,n1))
| gt(plus(plus(X_1,n1),n1),n1) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_9,refute_0_66]) ).
cnf(refute_0_68,plain,
gt(plus(plus(X_1,n1),n1),n1),
inference(resolve,[$cnf( gt(plus(plus(X_1,n1),n1),plus(n0,n1)) )],[refute_0_65,refute_0_67]) ).
cnf(refute_0_69,plain,
gt(plus(plus(X_49,n1),n1),n1),
inference(subst,[],[refute_0_68:[bind(X_1,$fot(X_49))]]) ).
cnf(refute_0_70,plain,
~ def_10(n1,plus(plus(X_49,n1),n1)),
inference(resolve,[$cnf( gt(plus(plus(X_49,n1),n1),n1) )],[refute_0_69,refute_0_63]) ).
cnf(refute_0_71,plain,
~ def_10(n1,plus(plus(X_11,n1),n1)),
inference(subst,[],[refute_0_70:[bind(X_49,$fot(X_11))]]) ).
cnf(refute_0_72,plain,
gt(plus(X_11,n1),X_11),
inference(resolve,[$cnf( def_10(n1,plus(plus(X_11,n1),n1)) )],[refute_0_62,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ gt(plus(X_66,n1),plus(n0,n1))
| gt(X_66,n0) ),
inference(subst,[],[axiom_9:[bind(X_11,$fot(n0)),bind(Y_12,$fot(X_66))]]) ).
cnf(refute_0_74,plain,
( plus(n0,n1) != n1
| ~ gt(plus(X_66,n1),n1)
| gt(plus(X_66,n1),plus(n0,n1)) ),
introduced(tautology,[equality,[$cnf( ~ gt(plus(X_66,n1),plus(n0,n1)) ),[1],$fot(n1)]]) ).
cnf(refute_0_75,plain,
( ~ gt(plus(X_66,n1),n1)
| gt(plus(X_66,n1),plus(n0,n1)) ),
inference(resolve,[$cnf( $equal(plus(n0,n1),n1) )],[refute_0_9,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ gt(plus(X_66,n1),n1)
| gt(X_66,n0) ),
inference(resolve,[$cnf( gt(plus(X_66,n1),plus(n0,n1)) )],[refute_0_75,refute_0_73]) ).
cnf(refute_0_77,plain,
( ~ gt(plus(X_136,n1),n1)
| gt(X_136,n0) ),
inference(subst,[],[refute_0_76:[bind(X_66,$fot(X_136))]]) ).
cnf(refute_0_78,plain,
( ~ gt(plus(plus(X_1,n1),n1),n1)
| n1 = plus(X_1,n1)
| gt(plus(X_1,n1),n1) ),
inference(subst,[],[axiom_10:[bind(X_13,$fot(plus(X_1,n1))),bind(Y_14,$fot(n1))]]) ).
cnf(refute_0_79,plain,
( n1 = plus(X_1,n1)
| gt(plus(X_1,n1),n1) ),
inference(resolve,[$cnf( gt(plus(plus(X_1,n1),n1),n1) )],[refute_0_68,refute_0_78]) ).
cnf(refute_0_80,plain,
( n1 = plus(X_136,n1)
| gt(plus(X_136,n1),n1) ),
inference(subst,[],[refute_0_79:[bind(X_1,$fot(X_136))]]) ).
cnf(refute_0_81,plain,
( n1 = plus(X_136,n1)
| gt(X_136,n0) ),
inference(resolve,[$cnf( gt(plus(X_136,n1),n1) )],[refute_0_80,refute_0_77]) ).
cnf(refute_0_82,plain,
( n1 = plus(X_11,n1)
| gt(X_11,n0) ),
inference(subst,[],[refute_0_81:[bind(X_136,$fot(X_11))]]) ).
cnf(refute_0_83,plain,
( n1 != plus(X_11,n1)
| plus(X_11,n1) = n1 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(n1)),bind(Y,$fot(plus(X_11,n1)))]]) ).
cnf(refute_0_84,plain,
( plus(X_11,n1) = n1
| gt(X_11,n0) ),
inference(resolve,[$cnf( $equal(n1,plus(X_11,n1)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( plus(X_11,n1) != n1
| ~ gt(plus(X_11,n1),X_11)
| gt(n1,X_11) ),
introduced(tautology,[equality,[$cnf( gt(plus(X_11,n1),X_11) ),[0],$fot(n1)]]) ).
cnf(refute_0_86,plain,
( ~ gt(plus(X_11,n1),X_11)
| gt(X_11,n0)
| gt(n1,X_11) ),
inference(resolve,[$cnf( $equal(plus(X_11,n1),n1) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( gt(X_11,n0)
| gt(n1,X_11) ),
inference(resolve,[$cnf( gt(plus(X_11,n1),X_11) )],[refute_0_72,refute_0_86]) ).
cnf(refute_0_88,plain,
( gt(int_level(X_341),n0)
| gt(n1,int_level(X_341)) ),
inference(subst,[],[refute_0_87:[bind(X_11,$fot(int_level(X_341)))]]) ).
cnf(refute_0_89,plain,
( ~ gt(int_level(X_341),n0)
| ~ p_Rd(X_341)
| ~ p_Rd_error(plus(X_341,n1))
| p_Reset(X_341)
| p_Wr(X_341) ),
inference(subst,[],[axiom_70:[bind(X_t_42,$fot(X_341))]]) ).
cnf(refute_0_90,plain,
( ~ p_Rd(X_341)
| ~ p_Rd_error(plus(X_341,n1))
| gt(n1,int_level(X_341))
| p_Reset(X_341)
| p_Wr(X_341) ),
inference(resolve,[$cnf( gt(int_level(X_341),n0) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ p_Rd(t_139)
| ~ p_Rd_error(plus(t_139,n1))
| gt(n1,int_level(t_139))
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(subst,[],[refute_0_90:[bind(X_341,$fot(t_139))]]) ).
cnf(refute_0_92,plain,
( ~ p_Rd(t_139)
| gt(n1,int_level(t_139))
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(resolve,[$cnf( p_Rd_error(plus(t_139,n1)) )],[quest_1,refute_0_91]) ).
cnf(refute_0_93,plain,
( gt(n1,int_level(t_139))
| p_Reset(t_139)
| p_Wr(t_139) ),
inference(resolve,[$cnf( p_Rd(t_139) )],[quest_2,refute_0_92]) ).
cnf(refute_0_94,plain,
( gt(n1,int_level(t_139))
| p_Wr(t_139) ),
inference(resolve,[$cnf( p_Reset(t_139) )],[refute_0_93,quest_3]) ).
cnf(refute_0_95,plain,
( int_level(t_139) = n0
| gt(n0,y_27(int_level(t_139)))
| p_Wr(t_139) ),
inference(resolve,[$cnf( gt(n1,int_level(t_139)) )],[refute_0_94,refute_0_22]) ).
cnf(refute_0_96,plain,
( X_202 = n0
| gt(X_202,n0) ),
inference(subst,[],[axiom_15:[bind(X_25,$fot(X_202))]]) ).
cnf(refute_0_97,plain,
( ~ gt(X_202,n0)
| ~ gt(X_203,X_202)
| gt(X_203,n0) ),
inference(subst,[],[axiom_13:[bind(X_19,$fot(n0)),bind(Y_20,$fot(X_202)),bind(Z_21,$fot(X_203))]]) ).
cnf(refute_0_98,plain,
( ~ gt(X_203,X_202)
| X_202 = n0
| gt(X_203,n0) ),
inference(resolve,[$cnf( gt(X_202,n0) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
( ~ gt(n0,y_27(int_level(t_139)))
| y_27(int_level(t_139)) = n0
| gt(n0,n0) ),
inference(subst,[],[refute_0_98:[bind(X_202,$fot(y_27(int_level(t_139)))),bind(X_203,$fot(n0))]]) ).
cnf(refute_0_100,plain,
( int_level(t_139) = n0
| y_27(int_level(t_139)) = n0
| gt(n0,n0)
| p_Wr(t_139) ),
inference(resolve,[$cnf( gt(n0,y_27(int_level(t_139))) )],[refute_0_95,refute_0_99]) ).
cnf(refute_0_101,plain,
~ gt(n0,n0),
inference(subst,[],[axiom_17:[bind(X_28,$fot(n0))]]) ).
cnf(refute_0_102,plain,
( int_level(t_139) = n0
| y_27(int_level(t_139)) = n0
| p_Wr(t_139) ),
inference(resolve,[$cnf( gt(n0,n0) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( y_27(int_level(t_139)) != n0
| ~ gt(n0,y_27(int_level(t_139)))
| gt(n0,n0) ),
introduced(tautology,[equality,[$cnf( gt(n0,y_27(int_level(t_139))) ),[1],$fot(n0)]]) ).
cnf(refute_0_104,plain,
( ~ gt(n0,y_27(int_level(t_139)))
| int_level(t_139) = n0
| gt(n0,n0)
| p_Wr(t_139) ),
inference(resolve,[$cnf( $equal(y_27(int_level(t_139)),n0) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( int_level(t_139) = n0
| gt(n0,n0)
| p_Wr(t_139) ),
inference(resolve,[$cnf( gt(n0,y_27(int_level(t_139))) )],[refute_0_95,refute_0_104]) ).
cnf(refute_0_106,plain,
( int_level(t_139) = n0
| p_Wr(t_139) ),
inference(resolve,[$cnf( gt(n0,n0) )],[refute_0_105,refute_0_101]) ).
cnf(refute_0_107,plain,
int_level(t_139) = n0,
inference(resolve,[$cnf( p_Wr(t_139) )],[refute_0_106,refute_0_7]) ).
cnf(refute_0_108,plain,
( int_level(t_139) != n0
| n0 != n0
| int_level(t_139) = n0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(int_level(t_139),n0) ),[0],$fot(n0)]]) ).
cnf(refute_0_109,plain,
( n0 != n0
| int_level(t_139) = n0 ),
inference(resolve,[$cnf( $equal(int_level(t_139),n0) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( n0 != n0
| p_Empty(t_139) ),
inference(resolve,[$cnf( $equal(int_level(t_139),n0) )],[refute_0_109,refute_0_0]) ).
cnf(refute_0_111,plain,
n0 = n0,
introduced(tautology,[refl,[$fot(n0)]]) ).
cnf(refute_0_112,plain,
p_Empty(t_139),
inference(resolve,[$cnf( $equal(n0,n0) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
$false,
inference(resolve,[$cnf( p_Empty(t_139) )],[refute_0_112,quest_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV021-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 08:50:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.80/10.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.80/10.96
% 10.80/10.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.82/10.97
%------------------------------------------------------------------------------